Atkin-Lehner |
2- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69874i |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
4771747182411776 = 218 · 77 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-166307,-25961279] |
[a1,a2,a3,a4,a6] |
j |
4323816191582497/40559181824 |
j-invariant |
L |
8.5156990250747 |
L(r)(E,1)/r! |
Ω |
0.2365471963027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982e1 |
Quadratic twists by: -7 |